Computation of Cavity Expansion Pressure and Penetration Resistance in Sands
Publication: International Journal of Geomechanics
Volume 7, Issue 4
Abstract
A cavity expansion-based theory for calculation of cone penetration resistance in sand is presented. The theory includes a completely new analysis to obtain cone resistance from cavity limit pressure. In order to more clearly link the proposed theory with the classical cavity expansion theories, which were based on linear elastic, perfectly plastic soil response, linear equivalent values of Young's modulus, Poisson’s ratio and friction and dilatancy angles are given in charts as a function of relative density, stress state, and critical-state friction angle. These linear-equivalent values may be used in the classical theories to obtain very good estimates of cavity pressure. A much simpler way to estimate —based on direct reading from charts in terms of relative density, stress state, and critical-state friction angle—is also proposed. Finally, a single equation obtained by regression of on relative density and stress state for a range of values of critical-state friction angle is also proposed. Examples illustrate the different ways of calculating cone resistance and interpreting cone penetration test results.
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References
Baldi, G., et al. (1985). “Laboratory validation of in-situ tests.” AGI Golden Jubilee Volume for XI ICSMFE, San Francisco, 217–239.
Baldi, G., Bellotti, R., Ghionna, V. N., Jamiolkowski, M., and Pasqualini, E. (1983). “Prova penetrométrica stática e densitá relativa della sabbia – Atti del.” XV Congegno Nazionale di Geotecnica, Spoleto, 4–6, Maggio, Vol. 1.
Baldi, G., Bellotti, R., Ghionna, V. N., Jamiolkowski, M., and Pasqualini, E. (1986). “Interpretation of CPT’s and CPTU’s—second part: Drained penetration of sands.” 4th Int. Conf. on Field Instrumentation and In Situ Measurement, Nanyang Technological Institute, Singapore, 143–156.
Baligh, M. M. (1976). “Cavity expansion in sands with curved envelopes.” Proc. ASCE, J. Geotech. Eng. Div. 102(11), 1131–1146.
Been, K., and Jefferies, M. G. (1985). “A state parameter for sands.” Geotechnique, 35(2), 99–112.
Bishop, R. F., Hill, R., and Mott, N. F. (1945). “The theory of identation and hardness tests.” Proc. Phys. Soc. 57, 147–159.
Bellotti, R., Bizzi, G., and Ghionna, V. (1982). “Design, construction and use of a calibration chamber.” Proc., ESOPT II, Vol. 2, Amsterdam, 439–446.
Bolton, M. D. (1982). A guide to soil mechanics, MacMillan, New York.
Bolton, M. D. (1986). “The strength and dilatancy of stands.” Geotechnique, 36(1), 65–78.
Bonita, J. A. (2000). “The effects of vibration on the penetration resistance and pore water pressure in sands.” Dissertation in partial fulfillment of the requirements for a Ph.D. degree in Civil Engineering, Virginia Polytechnic Institute and State Univ. Blacksburg, Va.
Carter, J. P., Booker, J. R., and Yeung, S. K. (1986). “Cavity expansion in cohesive-frictional soils.” Geotechnique, 36, 349–353.
Chadwick, P. (1959). “The quasistatic expansion of a spherical cavity in metals and ideal soils. Part I.” Q. J. Mech. Appl. Math., 12, 52–71.
Chadwick, P. (1962). “Propagation of spherical plastic-elastic disturbances from an expanded cavity.” Q. J. Mech. Appl. Math., 15(3), 349–376.
Collins, I. F., Pender, M. J., and Yan, W. (1992). “Cavity expansion in sands under drained loading conditions.” Int. J. Numer. Analyt. Meth. Geomech., 16, 3–23.
Ghionna, V., and Jamiolkowski, M. (1991). “A critical appraisal of calibration chamber testing of sands.” Proc., 1st Int. Symp. on Calibration Chamber Testing (ISOCCT1), Potsdam, N.Y., A. B. Huang, ed., Elsevier, New York, 13–39.
Hardin, B., and Black, W. (1968). “Shear modulus and damping in soils.” J. Soil Mech. and Found. Div., 94(2), 353–369.
Hill, R. (1950). “Mathematical theory of plasticity.” Oxford Univ. Press.
Houlsby, G. T., and Hitchman, R. (1988). “Calibration chamber tests of a cone penetrometer in sand.” Geotechnique, 38(1), 39–44.
Houlsby, G. T., and Wroth, C. P. (1989). “The influence of soil stiffness and lateral stress on the results of in situ tests.” Proc., XII ICSMFE, Rio de Janeiro, Vol. 1, 227–232.
Ishibashi, I., and Zhang, X. (1993). “Unified dynamic shear moduli and damping ratios of sand and clay.” Soils Found., 33(1), 182–191.
Jamiolkowki, M., Ladd, C, Germaine, J., and Lancellotta, R. (1985). “New developments in field and laboratory testing of soils.” Proc., XI ICSMFE, San Francisco.
Ladanyi, B. (1963). “Expansion of a cavity in a saturated clay medium.” J. Soil Mech. and Found. Div. ASCE 90(SM4), 127–161.
Lee, K. M., Shen, C. K., Leung, D. H. K., and Mitchell, J. K. (1999). “Effects of placement method on geotechnical behavior of hydraulic fill sands.” J. Geotech. Geoenviron. Eng., 125(10), 832–846.
Lo Presti, D. C. F. (1987). Ph.D. thesis, Politécnico di Torino, Turin, Italy.
Lo Presti, D. C. F., Pedroni, S., and Crippa, V. (1992). “Maximum dry density of cohesionless, soils by pluviation and by ASTM D4253-83: A comparative study.” Geotech. Test. J., 15(2), 180–189.
Mayne, P. W., and Kulhawy, F. H. (1991). “Calibration chamber database and boundary effects correction for CPT data.” Proc., 1st Int. Symp. on Calibration Chamber Testing (ISOCCT1), Potsdam, N.Y., A. B. Huang, ed., Elsevier, New York, 257–264.
Mitchell, J. K. (1988). “New developments in penetration tests and equipment.” Penetration testing 1988, ISOPT-1, J. De Ruiter, ed., A. A. Balkema, Vol. 1, Rotterdam, The Netherlands, 245–261.
Mitchell, J. K., and Tseng, D.-J. (1990). “Assessment of liquefaction potential by cone penetration resistance.” H. Bolton Seed Memorial Symp., J. M. Duncan, ed., Vol. 2, BiTech, Berkeley, Calif., 335–350.
Miura, S., and Toki, S. (1982) “A sample preparation method and its effect on static and cyclic deformation—strength properties of sand.” Soils Found., 22(1), 61–77.
Palmer, A. C. (1972). “Undrained plane-strain expansion of a cylindrical cavity in clays.” Geotechnique 22(3), 451–457.
Rowe, P. W. (1962). “The stress-dilatancy relation for static equilibrium of an assembly of particles in contact.” Proc. R. Soc. London, Ser. A, A269, 500–527.
Salgado, R. (1993). “Analysis of penetration resistance in sands.” Ph.D. thesis, Univ. of California, Berkeley, Calif.
Salgado, R., Boulanger, R. W., and Mitchell, J. K. (1997a). “Lateral stress effects on CPT liquefaction resistance correlatons.” J. Geotech. Geoenviron. Eng., 123(8), 726–735.
Salgado, R., Mitchell, J. K., and Jamiolkowski, M. (1997b). “Cavity Expansion and Penetration Resistance in Sand.” J. Geotech. Geoenviron. Eng., 123(4), 344–354.
Salgado, R., Mitchell, J. K., and Jamiolkowski, M. B. (1998). “Calibration chamber size effects on penetration resistance in sand.” J. Geotech. Geoenviron. Eng., 124(9), 878–888.
Salgado, R., and Randolph, M. F. (2001). “Analysis of cavity expansion in sand.” Int. J. Geomech., 1(2), 175–192.
Schmertmann, J. (1976). “An updated correlation between relative density , and Fugro-type electric clone bearing .” Contract Rep. No. DACW 39-76 M6646. Waterways Experimental Station.
Schnaid, F., and Houlsby, G. (1991). “An assessment of chamber size effects in the calibration of in situ tests in sand.” Geotechnique, 41(3), 437–445.
Vésic, A. S. (1972), “Expansion of cavities in infinite soil mass.” J. Soil Mech. and Found. Div., 98(3), 265–290.
Villet, W. C. B., and Mitchell, J. K. (1981). “Cone resistance, relative density and friction angle.” Proc., ASCE Symp. on Cone Penetration Testing and Experience, Norris and Holtz, eds., St. Louis, 178–208.
Yu, H. S., and Houlsby, G. T. (1991). “Finite cavity expansion in dilatant soils: Loading analysis.” Geotechnique 41(2), 173–183.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 7 • Issue 4 • July 2007
Pages: 251 - 265
Copyright
© 2007 ASCE.
History
Received: Jun 9, 2005
Accepted: May 25, 2006
Published online: Jul 1, 2007
Published in print: Jul 2007
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